GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Nov 2019, 00:59

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Drinks A and B are mixtures of lemon and orange juices. The ratio of l

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
S
Joined: 26 Apr 2018
Posts: 38
Drinks A and B are mixtures of lemon and orange juices. The ratio of l  [#permalink]

Show Tags

New post 26 Sep 2018, 01:09
1
22
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

66% (02:38) correct 34% (02:41) wrong based on 172 sessions

HideShow timer Statistics

Drinks A and B are mixtures of lemon and orange juices. The ratio of lemon to orange juice is 1:3 in drink A. In drink B, the ratio of lemon to orange juices is 5 : 3. If drink A is mixed with drink B to form drink C in the ratio of 4 : 1, what is the ratio of lemon to orange juice in drink c?

a) 1 : 1

b) 2 : 1

c) 3 : 2

d) 13 : 27

e) 15 : 19

source gmat tutor
Most Helpful Expert Reply
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 3674
Drinks A and B are mixtures of lemon and orange juices. The ratio of l  [#permalink]

Show Tags

New post 26 Sep 2018, 18:45
2
1
3
bettatantalo wrote:
Drinks A and B are mixtures of lemon and orange juices. The ratio of lemon to orange juice is 1:3 in drink A. In drink B, the ratio of lemon to orange juices is 5 : 3. If drink A is mixed with drink B to form drink C in the ratio of 4 : 1, what is the ratio of lemon to orange juice in drink c?

a) 1 : 1

b) 2 : 1

c) 3 : 2

d) 13 : 27

e) 15 : 19

source gmat tutor

Beqa chose an excellent method. +1

We can also find amounts of each juice in a 4:1 mix, and set them in a ratio

To find concentration of, say, OJ in A, sum the ratio parts.
Concentration = \(\frac{part}{total}=\frac{L}{L+OJ}\)

A mix: \(\frac{L}{OJ}=\frac{1}{3}\)
Total parts: (1 + 3) = 4
A, concentration of \(L = \frac{1}{4}\)
A, concentration of \(OJ=\frac{3}{4}\)

B mix: \(\frac{L}{OJ}=\frac{5}{3}\)
Total parts: (5 + 3) = 8
B, concentration of \(L = \frac{5}{8}\)
B, concentration of \(OJ=\frac{3}{8}\)

Drink A is mixed with drink B in the ratio of 4:1 to form drink C
So the amount of A in the resultant drink C is 4 times as much as B

Lemon juice only in 4A + 1B?

\((4)(\frac{1}{4})+(1)(\frac{5}{8})=\)

\((1+\frac{5}{8})=(\frac{8}{8}+\frac{5}{8})=\frac{13}{8}\)

Orange juice only in 4A+1B?
\((4)(\frac{3}{4})+(1)(\frac{3}{8})=\)

\((3+\frac{3}{8})=(\frac{24}{8}+\frac{3}{8})=\frac{27}{8}\)

Ratio of lemon juice to orange juice in C?
C = mix of 4A and 1B, as above

\(\frac{L}{OJ}=\frac{(\frac{13}{8})}{(\frac{27}{8})}=(\frac{13}{8}*\frac{8}{27})=\frac{13}{27}\)

Answer D
_________________
SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here.

Never doubt that a small group of thoughtful, committed citizens can change the world; indeed, it's the only thing that ever has -- Margaret Mead
Most Helpful Community Reply
Intern
Intern
avatar
B
Joined: 06 Nov 2014
Posts: 17
Location: Viet Nam
GMAT 1: 720 Q50 V36
GMAT 2: 740 Q50 V40
GPA: 3.67
Re: Drinks A and B are mixtures of lemon and orange juices. The ratio of l  [#permalink]

Show Tags

New post 26 Sep 2018, 03:36
7
Very interesting question. I would like to use: SMART NUMBER strategy, in which we use real numbers to avoid complex calculations.

Let's look at solution C, which is made from 4 parts of solution A and 1 part of solution B. Hence, you may want start with solution B.

Let's take 8ml of B, in which there are 5ml Lemon and 3ml Orange.
We need 8x4=32ml of A, in which there are 8ml Lemon and 24ml Orange.
Put A and B together, we have 13ml Lemon and 27ml Orange ==> D. 13/27
General Discussion
Intern
Intern
User avatar
S
Joined: 05 Jan 2017
Posts: 34
GMAT ToolKit User
Drinks A and B are mixtures of lemon and orange juices. The ratio of l  [#permalink]

Show Tags

New post 01 Oct 2018, 13:14
2
In A -
l -> 1/4 ------(A1)
O -> 3/4

In B -
l -> 5/8 ------ (A2)
o -> 3/8

let x be the Avg.

use weighted average formula -
w1/w2=(A2–Aavg)/(Aavg–A1)

(5/8 - x)/(x-1/4) = 4/1 --------- (this ratio is given in the question)
on solving =>
x=13/40
so lemon is 13
similarly solve for orange or we can just do 40-13=27
Answer should be 13:27 (D)
_________________
----------------------------
Kudos if my post helps!
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1221
Drinks A and B are mixtures of lemon and orange juices. The ratio of l  [#permalink]

Show Tags

New post 01 Oct 2018, 20:23
1
bettatantalo wrote:
Drinks A and B are mixtures of lemon and orange juices. The ratio of lemon to orange juice is 1:3 in drink A. In drink B, the ratio of lemon to orange juices is 5 : 3. If drink A is mixed with drink B to form drink C in the ratio of 4 : 1, what is the ratio of lemon to orange juice in drink c?

a) 1 : 1

b) 2 : 1

c) 3 : 2

d) 13 : 27

e) 15 : 19

source gmat tutor


let x=ratio of lemon juice to total drink C
4*1/4+1*5/8=5x
x=13/40
13/(40-13)=13/27=13:27 ratio of lemon juice to orange juice in drink C
D
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8453
Location: United States (CA)
Re: Drinks A and B are mixtures of lemon and orange juices. The ratio of l  [#permalink]

Show Tags

New post 03 Oct 2018, 17:39
2
bettatantalo wrote:
Drinks A and B are mixtures of lemon and orange juices. The ratio of lemon to orange juice is 1:3 in drink A. In drink B, the ratio of lemon to orange juices is 5 : 3. If drink A is mixed with drink B to form drink C in the ratio of 4 : 1, what is the ratio of lemon to orange juice in drink c?

a) 1 : 1

b) 2 : 1

c) 3 : 2

d) 13 : 27

e) 15 : 19


We have the following two ratios:

For A:

L : O = x : 3x

For B:

L : O = 5y : 3y

In drink C, we know the ratio of A : B is 4: 1; thus, we can set up the proportion:

(x + 3x)/(5y + 3y) = 4/1

4x/8y = 4

4x = 32y

x = 8y

If we let y = 1, then x = 8. So in drink A, we have L = 8 and O = 24, and in drink B, we have L = 5 and O = 3. So the total amount of L in drink C is 8 + 5 = 13 and the total amount of O in drink C is 24 + 3 = 27. So the ratio of L to O is 13/27.

Answer: D
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Manager
Manager
User avatar
G
Joined: 07 Aug 2018
Posts: 107
Location: United States (MA)
GMAT 1: 560 Q39 V28
GMAT 2: 670 Q48 V34
Re: Drinks A and B are mixtures of lemon and orange juices. The ratio of l  [#permalink]

Show Tags

New post 05 Oct 2018, 06:57
bettatantalo wrote:
Drinks A and B are mixtures of lemon and orange juices. The ratio of lemon to orange juice is 1:3 in drink A. In drink B, the ratio of lemon to orange juices is 5 : 3. If drink A is mixed with drink B to form drink C in the ratio of 4 : 1, what is the ratio of lemon to orange juice in drink c?

a) 1 : 1

b) 2 : 1

c) 3 : 2

d) 13 : 27

e) 15 : 19

source gmat tutor


Little different approach:

\(Drink\) \(A\): \(\frac{1}{4}\) \(L\) \((lemon)\); \(Drink\) \(B\): \(\frac{5}{8}\) \(L\) \((lemon)\)

\(Drink\) \(C\): \(\frac{4}{5}Drink\) \(A\) and \(\frac{1}{5}Drink\) \(B\)

Therefore percentage of \(L\) in \(Drink\) \(C\) is:

\(\frac{4}{5}*\frac{1}{4} + \frac{1}{5}*\frac{5}{8} = \frac{13}{40}\)

Hence ratio of \(Lemon\) to \(Orange\) in \(Drink\) \(C\) is \(13:27\)
_________________
GMAT Club Bot
Re: Drinks A and B are mixtures of lemon and orange juices. The ratio of l   [#permalink] 05 Oct 2018, 06:57
Display posts from previous: Sort by

Drinks A and B are mixtures of lemon and orange juices. The ratio of l

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne